Question

1 added to the product of two consecutive evev numbers gives 289. What are the numbers?​

Answer 1

Answer:

144,145

Step-by-step explanation:

I hope it helps you

Answer 2

Given :

• 1 added to the product of two consecutive even numbers gives 289.

To Find :

• The numbers

Solution :

Let,

• The first number be x
• The second number be x + 2

According to the Question :

• The product of two consecutive even numbers = 289
• x × (x + 2) + 1 = 289
• x(x + 2) + 1 = 289
• (x + 1)² = 289
• (x + 1) = √289
• (x + 1) = 17
• x = 17 - 1
• x = 16

Therefore :

• The first number = x
• The first number = 16

• The second number = x + 2
• The second number = 16 + 2
• The second number = 18

Hence, the two consecutive even numbers are 16 and 18 respectively.

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